Year: 2025
Type: article
Abstract: A bstract We consider the double scaling limit of β -deformed planar $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills theory (SYM), which has been argued to be conformal and integrable. It is a special point in the three-parameter space of double-scaled γ i -deformed $$ \mathcal{N} $$ N = 4 SYM, preserving $$ \mathcal{N} $$ N = 1 supersymmetry. The Feynman diagrams of the general three-parameter models form a “dynamical fishnet” that is much harder to analyze than the original one-parameter fishnet, where major progress in uncovering the model’s integrable structure has been made in recent years. Here we show that by applying $$ \mathcal{N} $$ N = 1 superspace techniques to the β -deformed model the dynamical nature of its Feynman graph expansion disappears, and we recover a regular lattice structure of brick wall (honeycomb) type. As a first application, we compute the zero-mode-fixed thermodynamic free energy of this model by applying Zamolodchikov’s method of inversion to the supersymmetric brick wall diagrams.
Source: Journal of High Energy Physics
Authors: Moritz Kade, Matthias Staudacher
Institution: Humboldt-Universität zu Berlin
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funder: Deutsche Forschungsgemeinschaft
OpenAlex ID: W4409624338